K13a532
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Polynomial invariants
| Jones polynomial | Data:K13a532/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^3+25 t^2-49 t+61-49 t^{-1} +25 t^{-2} -6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a532/Conway Polynomial |
| Determinant | 221 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6 a^{-2} -3 z^6+a^4 z^4-a^2 z^4-5 z^4 a^{-2} +3 z^4 a^{-4} -9 z^4+2 a^4 z^2+a^2 z^2-4 z^2 a^{-2} +8 z^2 a^{-4} -z^2 a^{-6} -9 z^2+a^4+a^2- a^{-2} +5 a^{-4} -2 a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-2} +z^{12}+4 a z^{11}+7 z^{11} a^{-1} +3 z^{11} a^{-3} +7 a^2 z^{10}+7 z^{10} a^{-2} +4 z^{10} a^{-4} +10 z^{10}+8 a^3 z^9-a z^9-15 z^9 a^{-1} -2 z^9 a^{-3} +4 z^9 a^{-5} +6 a^4 z^8-13 a^2 z^8-21 z^8 a^{-2} -5 z^8 a^{-4} +3 z^8 a^{-6} -32 z^8+3 a^5 z^7-20 a^3 z^7-7 a z^7+26 z^7 a^{-1} -9 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-15 a^4 z^6+10 a^2 z^6+32 z^6 a^{-2} -9 z^6 a^{-4} -11 z^6 a^{-6} +56 z^6-7 a^5 z^5+23 a^3 z^5+11 a z^5-32 z^5 a^{-1} -10 z^5 a^{-3} -z^5 a^{-5} -4 z^5 a^{-7} -3 a^6 z^4+14 a^4 z^4-32 z^4 a^{-2} +18 z^4 a^{-4} +13 z^4 a^{-6} -54 z^4+3 a^5 z^3-14 a^3 z^3-2 a z^3+19 z^3 a^{-1} +10 z^3 a^{-3} +11 z^3 a^{-5} +5 z^3 a^{-7} +2 a^6 z^2-8 a^4 z^2+8 z^2 a^{-2} -14 z^2 a^{-4} -6 z^2 a^{-6} +26 z^2+3 a^3 z-6 z a^{-1} -5 z a^{-3} -4 z a^{-5} -2 z a^{-7} +a^4-a^2+ a^{-2} +5 a^{-4} +2 a^{-6} -3 }[/math] |
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